meta stringlengths 493 517 | id int64 0 25.6k | problem_solution_idx int64 0 0 | world_id stringclasses 1
value | data_source stringclasses 1
value | prompt listlengths 1 1 | ability stringclasses 1
value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"y": "g + 13", "i": "y + 1", "f": "i + 17", "m": "f + 11", "a": "m + 14", "j": "a + 19", "w": "g + 4", "v": "w + 3", "r": "v + 7", "o": "r + 5", "c": "o + 6", "q": "c + 17", "g": 16}, "premises": {"g": 16}, "target": "j"}, "answer": {"steps": [["a", "m + 14", "m + 33"], ["m", "f + 11", "f + 44"],... | 400 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = v + 7; j = a + 19; o = r + 5; y = g + 13; i = y + 1; f = i + 17; c = o + 6; w = g + 4; v = w + 3; g = 16; m = f + 11; a = m + 14; q = c + 17. If g = 16, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = m + 14 to j, which gives j = m + 33.\n2. Substitute m = f + 11 to j, which gives j = f + 44.\n3. Substitute f = i + 17 to j, which gives j = i + 61.\n4. Substitute i = y + 1 to j, which gives j = y + 62.\n5. Substitute y = ... |
{"problem": {"rules": {"z": "u + 19", "g": "z + 7", "d": "g + 9", "t": "d + 1", "o": "t + 9", "c": "o + 13", "v": "u + 16", "j": "v + 18", "n": "j + 2", "b": "n + 10", "y": "b + 1", "h": "y + 12", "u": 20}, "premises": {"u": 20}, "target": "c"}, "answer": {"steps": [["o", "t + 9", "t + 22"], ["t", "d + 1", "d + 23"], [... | 401 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = v + 18; u = 20; v = u + 16; n = j + 2; c = o + 13; h = y + 12; d = g + 9; g = z + 7; b = n + 10; y = b + 1; t = d + 1; o = t + 9; z = u + 19. If u = 20, what is the resulting value of c?",
"role": "user... | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = t + 9 to c, which gives c = t + 22.\n2. Substitute t = d + 1 to c, which gives c = d + 23.\n3. Substitute d = g + 9 to c, which gives c = g + 32.\n4. Substitute g = z + 7 to c, which gives c = z + 39.\n5. Substitute z = u +... |
{"problem": {"rules": {"m": "i + 16", "g": "m + 8", "l": "g + 13", "v": "l + 12", "n": "v + 19", "t": "n + 3", "q": "i + 12", "w": "q + 10", "a": "w + 5", "k": "a + 9", "r": "k + 7", "h": "r + 18", "i": 10}, "premises": {"i": 10}, "target": "t"}, "answer": {"steps": [["n", "v + 19", "v + 22"], ["v", "l + 12", "l + 34"]... | 402 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = v + 19; h = r + 18; r = k + 7; w = q + 10; i = 10; q = i + 12; t = n + 3; k = a + 9; v = l + 12; m = i + 16; g = m + 8; a = w + 5; l = g + 13. If i = 10, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = v + 19 to t, which gives t = v + 22.\n2. Substitute v = l + 12 to t, which gives t = l + 34.\n3. Substitute l = g + 13 to t, which gives t = g + 47.\n4. Substitute g = m + 8 to t, which gives t = m + 55.\n5. Substitute m = ... |
{"problem": {"rules": {"f": "b + 14", "u": "f + 11", "k": "u + 15", "v": "k + 16", "c": "v + 15", "s": "c + 9", "e": "b + 8", "z": "e + 9", "r": "z + 13", "j": "r + 14", "t": "j + 17", "q": "t + 4", "b": 8}, "premises": {"b": 8}, "target": "s"}, "answer": {"steps": [["c", "v + 15", "v + 24"], ["v", "k + 16", "k + 40"],... | 403 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = e + 9; b = 8; r = z + 13; u = f + 11; k = u + 15; f = b + 14; t = j + 17; s = c + 9; v = k + 16; j = r + 14; c = v + 15; q = t + 4; e = b + 8. If b = 8, what is the resulting value of s?",
"role": "user... | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 15 to s, which gives s = v + 24.\n2. Substitute v = k + 16 to s, which gives s = k + 40.\n3. Substitute k = u + 15 to s, which gives s = u + 55.\n4. Substitute u = f + 11 to s, which gives s = f + 66.\n5. Substitute f =... |
{"problem": {"rules": {"y": "b + 16", "v": "y + 20", "s": "v + 2", "z": "s + 12", "q": "z + 10", "t": "q + 17", "l": "b + 14", "c": "l + 14", "e": "c + 16", "n": "e + 8", "g": "n + 13", "m": "g + 12", "b": 6}, "premises": {"b": 6}, "target": "t"}, "answer": {"steps": [["q", "z + 10", "z + 27"], ["z", "s + 12", "s + 39"... | 404 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = s + 12; n = e + 8; l = b + 14; g = n + 13; c = l + 14; t = q + 17; v = y + 20; e = c + 16; s = v + 2; b = 6; y = b + 16; m = g + 12; q = z + 10. If b = 6, what is the resulting value of t?",
"role": "us... | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = z + 10 to t, which gives t = z + 27.\n2. Substitute z = s + 12 to t, which gives t = s + 39.\n3. Substitute s = v + 2 to t, which gives t = v + 41.\n4. Substitute v = y + 20 to t, which gives t = y + 61.\n5. Substitute y = ... |
{"problem": {"rules": {"w": "p + 10", "i": "w + 8", "n": "i + 2", "v": "n + 6", "z": "v + 1", "c": "z + 12", "q": "p + 13", "r": "q + 14", "d": "r + 14", "a": "d + 7", "m": "a + 1", "l": "m + 13", "p": 13}, "premises": {"p": 13}, "target": "c"}, "answer": {"steps": [["z", "v + 1", "v + 13"], ["v", "n + 6", "n + 19"], [... | 405 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = a + 1; c = z + 12; n = i + 2; i = w + 8; l = m + 13; r = q + 14; z = v + 1; a = d + 7; v = n + 6; p = 13; d = r + 14; q = p + 13; w = p + 10. If p = 13, what is the resulting value of c?",
"role": "user... | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = v + 1 to c, which gives c = v + 13.\n2. Substitute v = n + 6 to c, which gives c = n + 19.\n3. Substitute n = i + 2 to c, which gives c = i + 21.\n4. Substitute i = w + 8 to c, which gives c = w + 29.\n5. Substitute w = p +... |
{"problem": {"rules": {"x": "w + 3", "s": "x + 10", "i": "s + 7", "u": "i + 3", "o": "u + 8", "v": "o + 16", "r": "w + 13", "h": "r + 14", "c": "h + 1", "d": "c + 6", "n": "d + 14", "g": "n + 13", "w": 15}, "premises": {"w": 15}, "target": "v"}, "answer": {"steps": [["o", "u + 8", "u + 24"], ["u", "i + 3", "i + 27"], [... | 406 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = s + 7; v = o + 16; o = u + 8; w = 15; n = d + 14; g = n + 13; u = i + 3; x = w + 3; d = c + 6; h = r + 14; c = h + 1; s = x + 10; r = w + 13. Given that w = 15, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = u + 8 to v, which gives v = u + 24.\n2. Substitute u = i + 3 to v, which gives v = i + 27.\n3. Substitute i = s + 7 to v, which gives v = s + 34.\n4. Substitute s = x + 10 to v, which gives v = x + 44.\n5. Substitute x = w ... |
{"problem": {"rules": {"h": "p + 4", "d": "h + 9", "w": "d + 10", "f": "w + 9", "c": "f + 6", "u": "c + 12", "z": "p + 16", "o": "z + 5", "g": "o + 4", "e": "g + 13", "a": "e + 3", "y": "a + 20", "p": 13}, "premises": {"p": 13}, "target": "u"}, "answer": {"steps": [["c", "f + 6", "f + 18"], ["f", "w + 9", "w + 27"], ["... | 407 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = z + 5; h = p + 4; p = 13; e = g + 13; f = w + 9; a = e + 3; w = d + 10; d = h + 9; g = o + 4; u = c + 12; z = p + 16; y = a + 20; c = f + 6. If p = 13, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = f + 6 to u, which gives u = f + 18.\n2. Substitute f = w + 9 to u, which gives u = w + 27.\n3. Substitute w = d + 10 to u, which gives u = d + 37.\n4. Substitute d = h + 9 to u, which gives u = h + 46.\n5. Substitute h = p ... |
{"problem": {"rules": {"x": "m + 17", "v": "x + 20", "i": "v + 3", "q": "i + 12", "o": "q + 1", "e": "o + 12", "c": "m + 5", "y": "c + 8", "k": "y + 12", "h": "k + 10", "a": "h + 11", "w": "a + 7", "m": 2}, "premises": {"m": 2}, "target": "e"}, "answer": {"steps": [["o", "q + 1", "q + 13"], ["q", "i + 12", "i + 25"], [... | 408 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = o + 12; o = q + 1; i = v + 3; a = h + 11; w = a + 7; c = m + 5; h = k + 10; m = 2; v = x + 20; x = m + 17; k = y + 12; q = i + 12; y = c + 8. If m = 2, what is the resulting value of e?",
"role": "user"... | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = q + 1 to e, which gives e = q + 13.\n2. Substitute q = i + 12 to e, which gives e = i + 25.\n3. Substitute i = v + 3 to e, which gives e = v + 28.\n4. Substitute v = x + 20 to e, which gives e = x + 48.\n5. Substitute x = m... |
{"problem": {"rules": {"c": "l + 11", "k": "c + 16", "y": "k + 13", "h": "y + 13", "d": "h + 20", "j": "d + 7", "x": "l + 11", "r": "x + 3", "i": "r + 1", "w": "i + 3", "u": "w + 8", "e": "u + 20", "l": 4}, "premises": {"l": 4}, "target": "j"}, "answer": {"steps": [["d", "h + 20", "h + 27"], ["h", "y + 13", "y + 40"], ... | 409 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = l + 11; h = y + 13; j = d + 7; i = r + 1; r = x + 3; w = i + 3; u = w + 8; e = u + 20; d = h + 20; x = l + 11; k = c + 16; l = 4; y = k + 13. Given that l = 4, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = h + 20 to j, which gives j = h + 27.\n2. Substitute h = y + 13 to j, which gives j = y + 40.\n3. Substitute y = k + 13 to j, which gives j = k + 53.\n4. Substitute k = c + 16 to j, which gives j = c + 69.\n5. Substitute c =... |
{"problem": {"rules": {"f": "o + 12", "v": "f + 13", "n": "v + 14", "i": "n + 19", "s": "i + 4", "w": "s + 4", "r": "o + 15", "c": "r + 13", "g": "c + 2", "a": "g + 17", "l": "a + 8", "j": "l + 16", "o": 1}, "premises": {"o": 1}, "target": "w"}, "answer": {"steps": [["s", "i + 4", "i + 8"], ["i", "n + 19", "n + 27"], [... | 410 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = i + 4; l = a + 8; f = o + 12; a = g + 17; n = v + 14; g = c + 2; j = l + 16; i = n + 19; o = 1; w = s + 4; r = o + 15; c = r + 13; v = f + 13. If o = 1, what is the resulting value of w?",
"role": "user... | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = i + 4 to w, which gives w = i + 8.\n2. Substitute i = n + 19 to w, which gives w = n + 27.\n3. Substitute n = v + 14 to w, which gives w = v + 41.\n4. Substitute v = f + 13 to w, which gives w = f + 54.\n5. Substitute f = o... |
{"problem": {"rules": {"z": "j + 4", "d": "z + 17", "c": "d + 15", "v": "c + 11", "i": "v + 11", "n": "i + 20", "a": "j + 10", "o": "a + 17", "w": "o + 2", "l": "w + 6", "m": "l + 19", "t": "m + 12", "j": 17}, "premises": {"j": 17}, "target": "n"}, "answer": {"steps": [["i", "v + 11", "v + 31"], ["v", "c + 11", "c + 42... | 411 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = w + 6; o = a + 17; z = j + 4; j = 17; v = c + 11; c = d + 15; n = i + 20; a = j + 10; t = m + 12; w = o + 2; m = l + 19; i = v + 11; d = z + 17. Given that j = 17, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = v + 11 to n, which gives n = v + 31.\n2. Substitute v = c + 11 to n, which gives n = c + 42.\n3. Substitute c = d + 15 to n, which gives n = d + 57.\n4. Substitute d = z + 17 to n, which gives n = z + 74.\n5. Substitute z =... |
{"problem": {"rules": {"a": "o + 9", "l": "a + 18", "g": "l + 19", "u": "g + 18", "r": "u + 20", "v": "r + 6", "b": "o + 4", "n": "b + 10", "f": "n + 9", "e": "f + 8", "c": "e + 6", "j": "c + 20", "o": 10}, "premises": {"o": 10}, "target": "v"}, "answer": {"steps": [["r", "u + 20", "u + 26"], ["u", "g + 18", "g + 44"],... | 412 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = l + 19; o = 10; f = n + 9; n = b + 10; j = c + 20; l = a + 18; c = e + 6; r = u + 20; a = o + 9; v = r + 6; u = g + 18; e = f + 8; b = o + 4. Given that o = 10, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = u + 20 to v, which gives v = u + 26.\n2. Substitute u = g + 18 to v, which gives v = g + 44.\n3. Substitute g = l + 19 to v, which gives v = l + 63.\n4. Substitute l = a + 18 to v, which gives v = a + 81.\n5. Substitute a =... |
{"problem": {"rules": {"r": "u + 7", "q": "r + 15", "v": "q + 15", "w": "v + 18", "p": "w + 14", "o": "p + 5", "n": "u + 10", "s": "n + 8", "f": "s + 20", "c": "f + 7", "t": "c + 17", "a": "t + 10", "u": 1}, "premises": {"u": 1}, "target": "o"}, "answer": {"steps": [["p", "w + 14", "w + 19"], ["w", "v + 18", "v + 37"],... | 413 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = n + 8; o = p + 5; n = u + 10; v = q + 15; t = c + 17; f = s + 20; r = u + 7; u = 1; c = f + 7; w = v + 18; q = r + 15; a = t + 10; p = w + 14. Given that u = 1, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = w + 14 to o, which gives o = w + 19.\n2. Substitute w = v + 18 to o, which gives o = v + 37.\n3. Substitute v = q + 15 to o, which gives o = q + 52.\n4. Substitute q = r + 15 to o, which gives o = r + 67.\n5. Substitute r =... |
{"problem": {"rules": {"p": "y + 1", "u": "p + 15", "q": "u + 17", "r": "q + 4", "j": "r + 19", "z": "j + 12", "w": "y + 11", "x": "w + 11", "s": "x + 16", "v": "s + 3", "i": "v + 3", "n": "i + 3", "y": 4}, "premises": {"y": 4}, "target": "z"}, "answer": {"steps": [["j", "r + 19", "r + 31"], ["r", "q + 4", "q + 35"], [... | 414 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = j + 12; s = x + 16; j = r + 19; r = q + 4; i = v + 3; u = p + 15; n = i + 3; p = y + 1; v = s + 3; w = y + 11; y = 4; q = u + 17; x = w + 11. If y = 4, what is the resulting value of z?",
"role": "user"... | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = r + 19 to z, which gives z = r + 31.\n2. Substitute r = q + 4 to z, which gives z = q + 35.\n3. Substitute q = u + 17 to z, which gives z = u + 52.\n4. Substitute u = p + 15 to z, which gives z = p + 67.\n5. Substitute p = ... |
{"problem": {"rules": {"s": "j + 10", "m": "s + 17", "k": "m + 11", "a": "k + 1", "d": "a + 17", "x": "d + 20", "b": "j + 12", "h": "b + 13", "i": "h + 13", "w": "i + 19", "f": "w + 11", "g": "f + 17", "j": 6}, "premises": {"j": 6}, "target": "x"}, "answer": {"steps": [["d", "a + 17", "a + 37"], ["a", "k + 1", "k + 38"... | 415 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = d + 20; b = j + 12; a = k + 1; i = h + 13; d = a + 17; f = w + 11; g = f + 17; m = s + 17; j = 6; k = m + 11; w = i + 19; h = b + 13; s = j + 10. If j = 6, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = a + 17 to x, which gives x = a + 37.\n2. Substitute a = k + 1 to x, which gives x = k + 38.\n3. Substitute k = m + 11 to x, which gives x = m + 49.\n4. Substitute m = s + 17 to x, which gives x = s + 66.\n5. Substitute s = ... |
{"problem": {"rules": {"f": "z + 1", "w": "f + 2", "i": "w + 17", "v": "i + 15", "l": "v + 1", "x": "l + 17", "s": "z + 7", "a": "s + 7", "k": "a + 11", "q": "k + 18", "o": "q + 12", "r": "o + 17", "z": 18}, "premises": {"z": 18}, "target": "x"}, "answer": {"steps": [["l", "v + 1", "v + 18"], ["v", "i + 15", "i + 33"],... | 416 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = q + 12; w = f + 2; s = z + 7; r = o + 17; x = l + 17; a = s + 7; q = k + 18; v = i + 15; l = v + 1; k = a + 11; z = 18; i = w + 17; f = z + 1. If z = 18, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = v + 1 to x, which gives x = v + 18.\n2. Substitute v = i + 15 to x, which gives x = i + 33.\n3. Substitute i = w + 17 to x, which gives x = w + 50.\n4. Substitute w = f + 2 to x, which gives x = f + 52.\n5. Substitute f = z... |
{"problem": {"rules": {"h": "f + 14", "q": "h + 15", "z": "q + 18", "e": "z + 9", "u": "e + 3", "n": "u + 5", "m": "f + 10", "b": "m + 10", "x": "b + 4", "c": "x + 9", "l": "c + 16", "p": "l + 10", "f": 14}, "premises": {"f": 14}, "target": "n"}, "answer": {"steps": [["u", "e + 3", "e + 8"], ["e", "z + 9", "z + 17"], [... | 417 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = b + 4; e = z + 9; c = x + 9; n = u + 5; q = h + 15; f = 14; m = f + 10; u = e + 3; z = q + 18; l = c + 16; h = f + 14; b = m + 10; p = l + 10. If f = 14, what is the resulting value of n?",
"role": "use... | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = e + 3 to n, which gives n = e + 8.\n2. Substitute e = z + 9 to n, which gives n = z + 17.\n3. Substitute z = q + 18 to n, which gives n = q + 35.\n4. Substitute q = h + 15 to n, which gives n = h + 50.\n5. Substitute h = f ... |
{"problem": {"rules": {"m": "a + 7", "k": "m + 13", "f": "k + 1", "b": "f + 5", "q": "b + 14", "e": "q + 5", "y": "a + 5", "w": "y + 7", "c": "w + 19", "h": "c + 9", "n": "h + 15", "d": "n + 6", "a": 17}, "premises": {"a": 17}, "target": "e"}, "answer": {"steps": [["q", "b + 14", "b + 19"], ["b", "f + 5", "f + 24"], ["... | 418 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = a + 7; b = f + 5; c = w + 19; q = b + 14; y = a + 5; d = n + 6; n = h + 15; f = k + 1; w = y + 7; a = 17; k = m + 13; e = q + 5; h = c + 9. If a = 17, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = b + 14 to e, which gives e = b + 19.\n2. Substitute b = f + 5 to e, which gives e = f + 24.\n3. Substitute f = k + 1 to e, which gives e = k + 25.\n4. Substitute k = m + 13 to e, which gives e = m + 38.\n5. Substitute m = a... |
{"problem": {"rules": {"k": "h + 5", "w": "k + 17", "m": "w + 5", "c": "m + 4", "n": "c + 13", "q": "n + 13", "v": "h + 8", "p": "v + 3", "y": "p + 13", "g": "y + 4", "x": "g + 10", "z": "x + 10", "h": 19}, "premises": {"h": 19}, "target": "q"}, "answer": {"steps": [["n", "c + 13", "c + 26"], ["c", "m + 4", "m + 30"], ... | 419 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = v + 3; q = n + 13; z = x + 10; h = 19; g = y + 4; k = h + 5; v = h + 8; x = g + 10; m = w + 5; c = m + 4; y = p + 13; w = k + 17; n = c + 13. Given that h = 19, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = c + 13 to q, which gives q = c + 26.\n2. Substitute c = m + 4 to q, which gives q = m + 30.\n3. Substitute m = w + 5 to q, which gives q = w + 35.\n4. Substitute w = k + 17 to q, which gives q = k + 52.\n5. Substitute k = h... |
{"problem": {"rules": {"v": "e + 19", "w": "v + 7", "n": "w + 5", "q": "n + 6", "r": "q + 14", "i": "r + 18", "b": "e + 2", "m": "b + 8", "p": "m + 12", "z": "p + 6", "a": "z + 18", "d": "a + 2", "e": 17}, "premises": {"e": 17}, "target": "i"}, "answer": {"steps": [["r", "q + 14", "q + 32"], ["q", "n + 6", "n + 38"], [... | 420 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = q + 14; a = z + 18; n = w + 5; i = r + 18; e = 17; b = e + 2; p = m + 12; d = a + 2; v = e + 19; m = b + 8; q = n + 6; w = v + 7; z = p + 6. If e = 17, what is the resulting value of i?",
"role": "user"... | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = q + 14 to i, which gives i = q + 32.\n2. Substitute q = n + 6 to i, which gives i = n + 38.\n3. Substitute n = w + 5 to i, which gives i = w + 43.\n4. Substitute w = v + 7 to i, which gives i = v + 50.\n5. Substitute v = e ... |
{"problem": {"rules": {"o": "s + 16", "v": "o + 14", "a": "v + 8", "x": "a + 20", "g": "x + 1", "w": "g + 10", "n": "s + 10", "m": "n + 1", "h": "m + 5", "t": "h + 14", "r": "t + 13", "k": "r + 18", "s": 13}, "premises": {"s": 13}, "target": "w"}, "answer": {"steps": [["g", "x + 1", "x + 11"], ["x", "a + 20", "a + 31"]... | 421 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = n + 1; n = s + 10; x = a + 20; k = r + 18; w = g + 10; a = v + 8; t = h + 14; h = m + 5; v = o + 14; g = x + 1; r = t + 13; o = s + 16; s = 13. Given that s = 13, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = x + 1 to w, which gives w = x + 11.\n2. Substitute x = a + 20 to w, which gives w = a + 31.\n3. Substitute a = v + 8 to w, which gives w = v + 39.\n4. Substitute v = o + 14 to w, which gives w = o + 53.\n5. Substitute o = s... |
{"problem": {"rules": {"s": "c + 12", "p": "s + 2", "l": "p + 9", "y": "l + 9", "d": "y + 20", "j": "d + 14", "m": "c + 4", "n": "m + 15", "q": "n + 14", "v": "q + 5", "f": "v + 1", "x": "f + 9", "c": 5}, "premises": {"c": 5}, "target": "j"}, "answer": {"steps": [["d", "y + 20", "y + 34"], ["y", "l + 9", "l + 43"], ["l... | 422 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = n + 14; d = y + 20; j = d + 14; f = v + 1; n = m + 15; p = s + 2; s = c + 12; m = c + 4; y = l + 9; v = q + 5; c = 5; x = f + 9; l = p + 9. If c = 5, what is the resulting value of j?",
"role": "user"
... | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = y + 20 to j, which gives j = y + 34.\n2. Substitute y = l + 9 to j, which gives j = l + 43.\n3. Substitute l = p + 9 to j, which gives j = p + 52.\n4. Substitute p = s + 2 to j, which gives j = s + 54.\n5. Substitute s = c ... |
{"problem": {"rules": {"s": "g + 20", "a": "s + 20", "l": "a + 3", "m": "l + 17", "w": "m + 6", "p": "w + 4", "c": "g + 8", "e": "c + 17", "f": "e + 9", "z": "f + 6", "q": "z + 8", "i": "q + 10", "g": 15}, "premises": {"g": 15}, "target": "p"}, "answer": {"steps": [["w", "m + 6", "m + 10"], ["m", "l + 17", "l + 27"], [... | 423 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = e + 9; q = z + 8; w = m + 6; a = s + 20; e = c + 17; p = w + 4; c = g + 8; g = 15; z = f + 6; l = a + 3; m = l + 17; s = g + 20; i = q + 10. If g = 15, what is the resulting value of p?",
"role": "user"... | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = m + 6 to p, which gives p = m + 10.\n2. Substitute m = l + 17 to p, which gives p = l + 27.\n3. Substitute l = a + 3 to p, which gives p = a + 30.\n4. Substitute a = s + 20 to p, which gives p = s + 50.\n5. Substitute s = g... |
{"problem": {"rules": {"i": "o + 5", "m": "i + 17", "t": "m + 5", "g": "t + 20", "p": "g + 19", "v": "p + 6", "h": "o + 10", "b": "h + 19", "u": "b + 11", "n": "u + 4", "j": "n + 7", "f": "j + 17", "o": 3}, "premises": {"o": 3}, "target": "v"}, "answer": {"steps": [["p", "g + 19", "g + 25"], ["g", "t + 20", "t + 45"], ... | 424 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = 3; p = g + 19; n = u + 4; f = j + 17; m = i + 17; t = m + 5; b = h + 19; v = p + 6; i = o + 5; h = o + 10; u = b + 11; g = t + 20; j = n + 7. If o = 3, what is the resulting value of v?",
"role": "user"... | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = g + 19 to v, which gives v = g + 25.\n2. Substitute g = t + 20 to v, which gives v = t + 45.\n3. Substitute t = m + 5 to v, which gives v = m + 50.\n4. Substitute m = i + 17 to v, which gives v = i + 67.\n5. Substitute i = ... |
{"problem": {"rules": {"j": "z + 12", "l": "j + 3", "w": "l + 17", "v": "w + 1", "s": "v + 12", "x": "s + 14", "k": "z + 6", "n": "k + 12", "f": "n + 19", "c": "f + 1", "y": "c + 3", "o": "y + 6", "z": 9}, "premises": {"z": 9}, "target": "x"}, "answer": {"steps": [["s", "v + 12", "v + 26"], ["v", "w + 1", "w + 27"], ["... | 425 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = v + 12; v = w + 1; f = n + 19; o = y + 6; w = l + 17; j = z + 12; l = j + 3; c = f + 1; x = s + 14; z = 9; k = z + 6; y = c + 3; n = k + 12. Given that z = 9, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = v + 12 to x, which gives x = v + 26.\n2. Substitute v = w + 1 to x, which gives x = w + 27.\n3. Substitute w = l + 17 to x, which gives x = l + 44.\n4. Substitute l = j + 3 to x, which gives x = j + 47.\n5. Substitute j = z... |
{"problem": {"rules": {"u": "s + 2", "q": "u + 7", "b": "q + 13", "j": "b + 12", "y": "j + 14", "v": "y + 16", "k": "s + 5", "p": "k + 9", "r": "p + 14", "g": "r + 18", "h": "g + 9", "x": "h + 4", "s": 15}, "premises": {"s": 15}, "target": "v"}, "answer": {"steps": [["y", "j + 14", "j + 30"], ["j", "b + 12", "b + 42"],... | 426 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = g + 9; g = r + 18; j = b + 12; q = u + 7; k = s + 5; u = s + 2; y = j + 14; v = y + 16; x = h + 4; p = k + 9; s = 15; r = p + 14; b = q + 13. Given that s = 15, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = j + 14 to v, which gives v = j + 30.\n2. Substitute j = b + 12 to v, which gives v = b + 42.\n3. Substitute b = q + 13 to v, which gives v = q + 55.\n4. Substitute q = u + 7 to v, which gives v = u + 62.\n5. Substitute u = ... |
{"problem": {"rules": {"h": "s + 19", "o": "h + 6", "r": "o + 18", "t": "r + 9", "l": "t + 16", "w": "l + 12", "x": "s + 20", "i": "x + 8", "f": "i + 14", "m": "f + 11", "u": "m + 1", "n": "u + 9", "s": 9}, "premises": {"s": 9}, "target": "w"}, "answer": {"steps": [["l", "t + 16", "t + 28"], ["t", "r + 9", "r + 37"], [... | 427 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = x + 8; w = l + 12; n = u + 9; u = m + 1; m = f + 11; t = r + 9; s = 9; f = i + 14; o = h + 6; r = o + 18; h = s + 19; l = t + 16; x = s + 20. If s = 9, what is the resulting value of w?",
"role": "user"... | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = t + 16 to w, which gives w = t + 28.\n2. Substitute t = r + 9 to w, which gives w = r + 37.\n3. Substitute r = o + 18 to w, which gives w = o + 55.\n4. Substitute o = h + 6 to w, which gives w = h + 61.\n5. Substitute h = s... |
{"problem": {"rules": {"r": "t + 7", "o": "r + 11", "d": "o + 4", "y": "d + 17", "w": "y + 20", "b": "w + 20", "f": "t + 6", "j": "f + 12", "k": "j + 7", "h": "k + 18", "m": "h + 13", "c": "m + 4", "t": 13}, "premises": {"t": 13}, "target": "b"}, "answer": {"steps": [["w", "y + 20", "y + 40"], ["y", "d + 17", "d + 57"]... | 428 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = d + 17; j = f + 12; k = j + 7; c = m + 4; r = t + 7; h = k + 18; b = w + 20; w = y + 20; t = 13; d = o + 4; m = h + 13; f = t + 6; o = r + 11. If t = 13, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = y + 20 to b, which gives b = y + 40.\n2. Substitute y = d + 17 to b, which gives b = d + 57.\n3. Substitute d = o + 4 to b, which gives b = o + 61.\n4. Substitute o = r + 11 to b, which gives b = r + 72.\n5. Substitute r = ... |
{"problem": {"rules": {"a": "b + 18", "w": "a + 8", "k": "w + 7", "e": "k + 13", "h": "e + 2", "j": "h + 15", "z": "b + 2", "d": "z + 17", "r": "d + 14", "n": "r + 3", "y": "n + 15", "x": "y + 7", "b": 3}, "premises": {"b": 3}, "target": "j"}, "answer": {"steps": [["h", "e + 2", "e + 17"], ["e", "k + 13", "k + 30"], ["... | 429 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = d + 14; z = b + 2; d = z + 17; n = r + 3; k = w + 7; x = y + 7; a = b + 18; y = n + 15; j = h + 15; w = a + 8; e = k + 13; b = 3; h = e + 2. If b = 3, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = e + 2 to j, which gives j = e + 17.\n2. Substitute e = k + 13 to j, which gives j = k + 30.\n3. Substitute k = w + 7 to j, which gives j = w + 37.\n4. Substitute w = a + 8 to j, which gives j = a + 45.\n5. Substitute a = b ... |
{"problem": {"rules": {"r": "p + 16", "l": "r + 19", "w": "l + 8", "g": "w + 6", "j": "g + 17", "t": "j + 17", "v": "p + 3", "d": "v + 16", "k": "d + 20", "a": "k + 2", "x": "a + 4", "i": "x + 12", "p": 17}, "premises": {"p": 17}, "target": "t"}, "answer": {"steps": [["j", "g + 17", "g + 34"], ["g", "w + 6", "w + 40"],... | 430 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = d + 20; t = j + 17; i = x + 12; l = r + 19; j = g + 17; d = v + 16; r = p + 16; v = p + 3; p = 17; w = l + 8; x = a + 4; g = w + 6; a = k + 2. If p = 17, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = g + 17 to t, which gives t = g + 34.\n2. Substitute g = w + 6 to t, which gives t = w + 40.\n3. Substitute w = l + 8 to t, which gives t = l + 48.\n4. Substitute l = r + 19 to t, which gives t = r + 67.\n5. Substitute r = p... |
{"problem": {"rules": {"l": "x + 11", "f": "l + 5", "n": "f + 11", "w": "n + 19", "v": "w + 16", "e": "v + 12", "b": "x + 2", "c": "b + 19", "q": "c + 20", "a": "q + 2", "y": "a + 19", "t": "y + 5", "x": 5}, "premises": {"x": 5}, "target": "e"}, "answer": {"steps": [["v", "w + 16", "w + 28"], ["w", "n + 19", "n + 47"],... | 431 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = n + 19; x = 5; v = w + 16; n = f + 11; t = y + 5; q = c + 20; e = v + 12; l = x + 11; c = b + 19; f = l + 5; b = x + 2; a = q + 2; y = a + 19. Given that x = 5, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = w + 16 to e, which gives e = w + 28.\n2. Substitute w = n + 19 to e, which gives e = n + 47.\n3. Substitute n = f + 11 to e, which gives e = f + 58.\n4. Substitute f = l + 5 to e, which gives e = l + 63.\n5. Substitute l = ... |
{"problem": {"rules": {"t": "u + 14", "r": "t + 6", "c": "r + 5", "p": "c + 2", "f": "p + 7", "k": "f + 2", "n": "u + 18", "h": "n + 17", "w": "h + 5", "a": "w + 20", "l": "a + 16", "g": "l + 1", "u": 9}, "premises": {"u": 9}, "target": "k"}, "answer": {"steps": [["f", "p + 7", "p + 9"], ["p", "c + 2", "c + 11"], ["c",... | 432 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = t + 6; p = c + 2; f = p + 7; n = u + 18; k = f + 2; u = 9; a = w + 20; l = a + 16; w = h + 5; h = n + 17; t = u + 14; g = l + 1; c = r + 5. If u = 9, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = p + 7 to k, which gives k = p + 9.\n2. Substitute p = c + 2 to k, which gives k = c + 11.\n3. Substitute c = r + 5 to k, which gives k = r + 16.\n4. Substitute r = t + 6 to k, which gives k = t + 22.\n5. Substitute t = u + ... |
{"problem": {"rules": {"y": "p + 3", "l": "y + 8", "x": "l + 19", "h": "x + 9", "z": "h + 10", "c": "z + 16", "r": "p + 1", "j": "r + 14", "k": "j + 18", "e": "k + 14", "w": "e + 12", "t": "w + 3", "p": 5}, "premises": {"p": 5}, "target": "c"}, "answer": {"steps": [["z", "h + 10", "h + 26"], ["h", "x + 9", "x + 35"], [... | 433 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = j + 18; j = r + 14; z = h + 10; y = p + 3; t = w + 3; h = x + 9; l = y + 8; x = l + 19; r = p + 1; w = e + 12; p = 5; c = z + 16; e = k + 14. If p = 5, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = h + 10 to c, which gives c = h + 26.\n2. Substitute h = x + 9 to c, which gives c = x + 35.\n3. Substitute x = l + 19 to c, which gives c = l + 54.\n4. Substitute l = y + 8 to c, which gives c = y + 62.\n5. Substitute y = p... |
{"problem": {"rules": {"r": "n + 13", "f": "r + 15", "h": "f + 14", "c": "h + 18", "u": "c + 12", "w": "u + 2", "p": "n + 3", "e": "p + 6", "k": "e + 13", "z": "k + 20", "l": "z + 4", "q": "l + 6", "n": 1}, "premises": {"n": 1}, "target": "w"}, "answer": {"steps": [["u", "c + 12", "c + 14"], ["c", "h + 18", "h + 32"], ... | 434 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = f + 14; w = u + 2; p = n + 3; n = 1; q = l + 6; e = p + 6; l = z + 4; u = c + 12; z = k + 20; c = h + 18; f = r + 15; r = n + 13; k = e + 13. If n = 1, what is the resulting value of w?",
"role": "user"... | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = c + 12 to w, which gives w = c + 14.\n2. Substitute c = h + 18 to w, which gives w = h + 32.\n3. Substitute h = f + 14 to w, which gives w = f + 46.\n4. Substitute f = r + 15 to w, which gives w = r + 61.\n5. Substitute r =... |
{"problem": {"rules": {"b": "x + 3", "p": "b + 12", "t": "p + 4", "c": "t + 6", "h": "c + 3", "m": "h + 16", "n": "x + 16", "e": "n + 6", "u": "e + 1", "g": "u + 19", "v": "g + 3", "f": "v + 16", "x": 20}, "premises": {"x": 20}, "target": "m"}, "answer": {"steps": [["h", "c + 3", "c + 19"], ["c", "t + 6", "t + 25"], ["... | 435 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = e + 1; b = x + 3; e = n + 6; m = h + 16; f = v + 16; v = g + 3; g = u + 19; p = b + 12; x = 20; t = p + 4; h = c + 3; c = t + 6; n = x + 16. If x = 20, what is the resulting value of m?",
"role": "user"... | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = c + 3 to m, which gives m = c + 19.\n2. Substitute c = t + 6 to m, which gives m = t + 25.\n3. Substitute t = p + 4 to m, which gives m = p + 29.\n4. Substitute p = b + 12 to m, which gives m = b + 41.\n5. Substitute b = x ... |
{"problem": {"rules": {"e": "g + 7", "l": "e + 19", "s": "l + 3", "c": "s + 15", "f": "c + 13", "d": "f + 2", "p": "g + 3", "t": "p + 11", "i": "t + 12", "b": "i + 8", "k": "b + 19", "z": "k + 20", "g": 1}, "premises": {"g": 1}, "target": "d"}, "answer": {"steps": [["f", "c + 13", "c + 15"], ["c", "s + 15", "s + 30"], ... | 436 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = t + 12; l = e + 19; d = f + 2; t = p + 11; g = 1; f = c + 13; e = g + 7; z = k + 20; k = b + 19; b = i + 8; p = g + 3; s = l + 3; c = s + 15. Given that g = 1, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 13 to d, which gives d = c + 15.\n2. Substitute c = s + 15 to d, which gives d = s + 30.\n3. Substitute s = l + 3 to d, which gives d = l + 33.\n4. Substitute l = e + 19 to d, which gives d = e + 52.\n5. Substitute e = ... |
{"problem": {"rules": {"n": "x + 12", "a": "n + 2", "h": "a + 16", "m": "h + 9", "y": "m + 2", "p": "y + 20", "v": "x + 14", "q": "v + 15", "w": "q + 18", "f": "w + 20", "u": "f + 3", "c": "u + 17", "x": 16}, "premises": {"x": 16}, "target": "p"}, "answer": {"steps": [["y", "m + 2", "m + 22"], ["m", "h + 9", "h + 31"],... | 437 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = v + 15; u = f + 3; w = q + 18; f = w + 20; m = h + 9; p = y + 20; y = m + 2; a = n + 2; h = a + 16; n = x + 12; x = 16; c = u + 17; v = x + 14. Given that x = 16, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = m + 2 to p, which gives p = m + 22.\n2. Substitute m = h + 9 to p, which gives p = h + 31.\n3. Substitute h = a + 16 to p, which gives p = a + 47.\n4. Substitute a = n + 2 to p, which gives p = n + 49.\n5. Substitute n = x ... |
{"problem": {"rules": {"q": "e + 4", "s": "q + 6", "f": "s + 17", "m": "f + 19", "t": "m + 11", "a": "t + 2", "b": "e + 2", "x": "b + 15", "v": "x + 9", "u": "v + 19", "r": "u + 7", "z": "r + 17", "e": 1}, "premises": {"e": 1}, "target": "a"}, "answer": {"steps": [["t", "m + 11", "m + 13"], ["m", "f + 19", "f + 32"], [... | 438 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = q + 6; x = b + 15; r = u + 7; f = s + 17; b = e + 2; a = t + 2; u = v + 19; z = r + 17; v = x + 9; e = 1; m = f + 19; q = e + 4; t = m + 11. If e = 1, what is the resulting value of a?",
"role": "user"
... | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = m + 11 to a, which gives a = m + 13.\n2. Substitute m = f + 19 to a, which gives a = f + 32.\n3. Substitute f = s + 17 to a, which gives a = s + 49.\n4. Substitute s = q + 6 to a, which gives a = q + 55.\n5. Substitute q = ... |
{"problem": {"rules": {"q": "u + 9", "c": "q + 4", "m": "c + 7", "b": "m + 12", "w": "b + 5", "e": "w + 8", "y": "u + 4", "k": "y + 8", "a": "k + 9", "z": "a + 5", "l": "z + 18", "o": "l + 20", "u": 15}, "premises": {"u": 15}, "target": "e"}, "answer": {"steps": [["w", "b + 5", "b + 13"], ["b", "m + 12", "m + 25"], ["m... | 439 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = b + 5; z = a + 5; m = c + 7; q = u + 9; o = l + 20; c = q + 4; k = y + 8; e = w + 8; a = k + 9; y = u + 4; b = m + 12; l = z + 18; u = 15. If u = 15, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = b + 5 to e, which gives e = b + 13.\n2. Substitute b = m + 12 to e, which gives e = m + 25.\n3. Substitute m = c + 7 to e, which gives e = c + 32.\n4. Substitute c = q + 4 to e, which gives e = q + 36.\n5. Substitute q = u ... |
{"problem": {"rules": {"t": "r + 16", "s": "t + 13", "v": "s + 3", "m": "v + 16", "q": "m + 19", "g": "q + 18", "k": "r + 7", "x": "k + 11", "d": "x + 19", "c": "d + 13", "h": "c + 9", "b": "h + 4", "r": 7}, "premises": {"r": 7}, "target": "g"}, "answer": {"steps": [["q", "m + 19", "m + 37"], ["m", "v + 16", "v + 53"],... | 440 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = k + 11; h = c + 9; g = q + 18; m = v + 16; c = d + 13; d = x + 19; t = r + 16; b = h + 4; s = t + 13; q = m + 19; v = s + 3; k = r + 7; r = 7. Given that r = 7, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = m + 19 to g, which gives g = m + 37.\n2. Substitute m = v + 16 to g, which gives g = v + 53.\n3. Substitute v = s + 3 to g, which gives g = s + 56.\n4. Substitute s = t + 13 to g, which gives g = t + 69.\n5. Substitute t = ... |
{"problem": {"rules": {"d": "v + 9", "g": "d + 15", "r": "g + 10", "e": "r + 5", "o": "e + 19", "z": "o + 15", "s": "v + 16", "h": "s + 10", "q": "h + 17", "l": "q + 12", "n": "l + 8", "y": "n + 12", "v": 2}, "premises": {"v": 2}, "target": "z"}, "answer": {"steps": [["o", "e + 19", "e + 34"], ["e", "r + 5", "r + 39"],... | 441 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = d + 15; l = q + 12; z = o + 15; o = e + 19; s = v + 16; y = n + 12; e = r + 5; h = s + 10; q = h + 17; n = l + 8; v = 2; r = g + 10; d = v + 9. Given that v = 2, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = e + 19 to z, which gives z = e + 34.\n2. Substitute e = r + 5 to z, which gives z = r + 39.\n3. Substitute r = g + 10 to z, which gives z = g + 49.\n4. Substitute g = d + 15 to z, which gives z = d + 64.\n5. Substitute d = ... |
{"problem": {"rules": {"q": "h + 8", "c": "q + 17", "g": "c + 8", "x": "g + 8", "j": "x + 13", "w": "j + 20", "f": "h + 14", "y": "f + 1", "b": "y + 10", "z": "b + 1", "a": "z + 17", "v": "a + 5", "h": 9}, "premises": {"h": 9}, "target": "w"}, "answer": {"steps": [["j", "x + 13", "x + 33"], ["x", "g + 8", "g + 41"], ["... | 442 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = h + 8; h = 9; j = x + 13; w = j + 20; v = a + 5; a = z + 17; y = f + 1; c = q + 17; z = b + 1; f = h + 14; g = c + 8; b = y + 10; x = g + 8. If h = 9, what is the resulting value of w?",
"role": "user"
... | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 13 to w, which gives w = x + 33.\n2. Substitute x = g + 8 to w, which gives w = g + 41.\n3. Substitute g = c + 8 to w, which gives w = c + 49.\n4. Substitute c = q + 17 to w, which gives w = q + 66.\n5. Substitute q = h... |
{"problem": {"rules": {"d": "r + 10", "c": "d + 1", "y": "c + 9", "g": "y + 4", "w": "g + 15", "x": "w + 7", "u": "r + 6", "i": "u + 15", "m": "i + 14", "f": "m + 11", "b": "f + 1", "o": "b + 16", "r": 9}, "premises": {"r": 9}, "target": "x"}, "answer": {"steps": [["w", "g + 15", "g + 22"], ["g", "y + 4", "y + 26"], ["... | 443 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = y + 4; b = f + 1; f = m + 11; x = w + 7; i = u + 15; m = i + 14; w = g + 15; u = r + 6; c = d + 1; d = r + 10; y = c + 9; o = b + 16; r = 9. If r = 9, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = g + 15 to x, which gives x = g + 22.\n2. Substitute g = y + 4 to x, which gives x = y + 26.\n3. Substitute y = c + 9 to x, which gives x = c + 35.\n4. Substitute c = d + 1 to x, which gives x = d + 36.\n5. Substitute d = r ... |
{"problem": {"rules": {"g": "q + 17", "b": "g + 13", "w": "b + 6", "k": "w + 14", "c": "k + 17", "l": "c + 11", "x": "q + 2", "d": "x + 17", "v": "d + 13", "a": "v + 11", "f": "a + 1", "r": "f + 9", "q": 7}, "premises": {"q": 7}, "target": "l"}, "answer": {"steps": [["c", "k + 17", "k + 28"], ["k", "w + 14", "w + 42"],... | 444 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = f + 9; k = w + 14; c = k + 17; g = q + 17; b = g + 13; w = b + 6; v = d + 13; d = x + 17; x = q + 2; a = v + 11; l = c + 11; f = a + 1; q = 7. Given that q = 7, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = k + 17 to l, which gives l = k + 28.\n2. Substitute k = w + 14 to l, which gives l = w + 42.\n3. Substitute w = b + 6 to l, which gives l = b + 48.\n4. Substitute b = g + 13 to l, which gives l = g + 61.\n5. Substitute g = ... |
{"problem": {"rules": {"d": "q + 3", "a": "d + 11", "b": "a + 5", "s": "b + 17", "n": "s + 12", "g": "n + 15", "u": "q + 6", "l": "u + 13", "v": "l + 9", "o": "v + 2", "m": "o + 1", "y": "m + 9", "q": 6}, "premises": {"q": 6}, "target": "g"}, "answer": {"steps": [["n", "s + 12", "s + 27"], ["s", "b + 17", "b + 44"], ["... | 445 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = v + 2; v = l + 9; a = d + 11; y = m + 9; d = q + 3; m = o + 1; u = q + 6; n = s + 12; l = u + 13; b = a + 5; g = n + 15; q = 6; s = b + 17. If q = 6, what is the resulting value of g?",
"role": "user"
... | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = s + 12 to g, which gives g = s + 27.\n2. Substitute s = b + 17 to g, which gives g = b + 44.\n3. Substitute b = a + 5 to g, which gives g = a + 49.\n4. Substitute a = d + 11 to g, which gives g = d + 60.\n5. Substitute d = ... |
{"problem": {"rules": {"u": "j + 1", "f": "u + 16", "s": "f + 4", "c": "s + 3", "e": "c + 10", "v": "e + 15", "b": "j + 6", "y": "b + 18", "d": "y + 12", "t": "d + 6", "r": "t + 9", "n": "r + 1", "j": 19}, "premises": {"j": 19}, "target": "v"}, "answer": {"steps": [["e", "c + 10", "c + 25"], ["c", "s + 3", "s + 28"], [... | 446 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = t + 9; t = d + 6; b = j + 6; e = c + 10; y = b + 18; d = y + 12; c = s + 3; s = f + 4; j = 19; v = e + 15; u = j + 1; f = u + 16; n = r + 1. If j = 19, what is the resulting value of v?",
"role": "user"... | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = c + 10 to v, which gives v = c + 25.\n2. Substitute c = s + 3 to v, which gives v = s + 28.\n3. Substitute s = f + 4 to v, which gives v = f + 32.\n4. Substitute f = u + 16 to v, which gives v = u + 48.\n5. Substitute u = j... |
{"problem": {"rules": {"s": "u + 12", "z": "s + 17", "b": "z + 5", "d": "b + 1", "c": "d + 10", "l": "c + 1", "w": "u + 15", "g": "w + 18", "k": "g + 1", "q": "k + 20", "y": "q + 15", "i": "y + 7", "u": 7}, "premises": {"u": 7}, "target": "l"}, "answer": {"steps": [["c", "d + 10", "d + 11"], ["d", "b + 1", "b + 12"], [... | 447 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = k + 20; k = g + 1; y = q + 15; b = z + 5; l = c + 1; d = b + 1; s = u + 12; i = y + 7; g = w + 18; c = d + 10; u = 7; w = u + 15; z = s + 17. Given that u = 7, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = d + 10 to l, which gives l = d + 11.\n2. Substitute d = b + 1 to l, which gives l = b + 12.\n3. Substitute b = z + 5 to l, which gives l = z + 17.\n4. Substitute z = s + 17 to l, which gives l = s + 34.\n5. Substitute s = u... |
{"problem": {"rules": {"c": "j + 1", "m": "c + 9", "v": "m + 16", "l": "v + 6", "d": "l + 10", "g": "d + 3", "f": "j + 1", "w": "f + 13", "z": "w + 19", "y": "z + 13", "n": "y + 4", "k": "n + 17", "j": 10}, "premises": {"j": 10}, "target": "g"}, "answer": {"steps": [["d", "l + 10", "l + 13"], ["l", "v + 6", "v + 19"], ... | 448 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = z + 13; z = w + 19; m = c + 9; f = j + 1; k = n + 17; d = l + 10; n = y + 4; l = v + 6; g = d + 3; j = 10; v = m + 16; c = j + 1; w = f + 13. If j = 10, what is the resulting value of g?",
"role": "user... | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = l + 10 to g, which gives g = l + 13.\n2. Substitute l = v + 6 to g, which gives g = v + 19.\n3. Substitute v = m + 16 to g, which gives g = m + 35.\n4. Substitute m = c + 9 to g, which gives g = c + 44.\n5. Substitute c = j... |
{"problem": {"rules": {"e": "b + 2", "y": "e + 11", "w": "y + 16", "m": "w + 16", "t": "m + 19", "z": "t + 14", "i": "b + 4", "k": "i + 17", "j": "k + 10", "u": "j + 18", "x": "u + 14", "p": "x + 15", "b": 1}, "premises": {"b": 1}, "target": "z"}, "answer": {"steps": [["t", "m + 19", "m + 33"], ["m", "w + 16", "w + 49"... | 449 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = w + 16; b = 1; w = y + 16; u = j + 18; x = u + 14; i = b + 4; e = b + 2; t = m + 19; p = x + 15; k = i + 17; j = k + 10; y = e + 11; z = t + 14. Given that b = 1, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = m + 19 to z, which gives z = m + 33.\n2. Substitute m = w + 16 to z, which gives z = w + 49.\n3. Substitute w = y + 16 to z, which gives z = y + 65.\n4. Substitute y = e + 11 to z, which gives z = e + 76.\n5. Substitute e =... |
{"problem": {"rules": {"u": "q + 7", "z": "u + 19", "o": "z + 12", "j": "o + 2", "s": "j + 14", "t": "s + 2", "c": "q + 14", "v": "c + 8", "y": "v + 17", "e": "y + 16", "l": "e + 14", "x": "l + 13", "q": 3}, "premises": {"q": 3}, "target": "t"}, "answer": {"steps": [["s", "j + 14", "j + 16"], ["j", "o + 2", "o + 18"], ... | 450 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = y + 16; u = q + 7; t = s + 2; j = o + 2; x = l + 13; y = v + 17; q = 3; c = q + 14; l = e + 14; z = u + 19; v = c + 8; o = z + 12; s = j + 14. If q = 3, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = j + 14 to t, which gives t = j + 16.\n2. Substitute j = o + 2 to t, which gives t = o + 18.\n3. Substitute o = z + 12 to t, which gives t = z + 30.\n4. Substitute z = u + 19 to t, which gives t = u + 49.\n5. Substitute u = ... |
{"problem": {"rules": {"g": "b + 7", "k": "g + 17", "h": "k + 17", "m": "h + 4", "j": "m + 3", "a": "j + 19", "o": "b + 7", "x": "o + 20", "d": "x + 13", "p": "d + 18", "y": "p + 10", "c": "y + 19", "b": 2}, "premises": {"b": 2}, "target": "a"}, "answer": {"steps": [["j", "m + 3", "m + 22"], ["m", "h + 4", "h + 26"], [... | 451 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = o + 20; m = h + 4; p = d + 18; y = p + 10; a = j + 19; h = k + 17; o = b + 7; k = g + 17; c = y + 19; g = b + 7; b = 2; d = x + 13; j = m + 3. If b = 2, what is the resulting value of a?",
"role": "user... | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = m + 3 to a, which gives a = m + 22.\n2. Substitute m = h + 4 to a, which gives a = h + 26.\n3. Substitute h = k + 17 to a, which gives a = k + 43.\n4. Substitute k = g + 17 to a, which gives a = g + 60.\n5. Substitute g = b... |
{"problem": {"rules": {"f": "k + 8", "s": "f + 11", "v": "s + 7", "t": "v + 13", "d": "t + 4", "p": "d + 13", "x": "k + 20", "q": "x + 1", "l": "q + 15", "w": "l + 7", "h": "w + 15", "n": "h + 6", "k": 10}, "premises": {"k": 10}, "target": "p"}, "answer": {"steps": [["d", "t + 4", "t + 17"], ["t", "v + 13", "v + 30"], ... | 452 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = q + 15; v = s + 7; w = l + 7; k = 10; x = k + 20; n = h + 6; d = t + 4; q = x + 1; h = w + 15; p = d + 13; s = f + 11; f = k + 8; t = v + 13. Given that k = 10, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = t + 4 to p, which gives p = t + 17.\n2. Substitute t = v + 13 to p, which gives p = v + 30.\n3. Substitute v = s + 7 to p, which gives p = s + 37.\n4. Substitute s = f + 11 to p, which gives p = f + 48.\n5. Substitute f = k... |
{"problem": {"rules": {"m": "n + 10", "w": "m + 6", "b": "w + 12", "s": "b + 19", "u": "s + 3", "f": "u + 19", "p": "n + 10", "k": "p + 13", "z": "k + 11", "i": "z + 6", "y": "i + 13", "r": "y + 7", "n": 8}, "premises": {"n": 8}, "target": "f"}, "answer": {"steps": [["u", "s + 3", "s + 22"], ["s", "b + 19", "b + 41"], ... | 453 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = p + 13; n = 8; w = m + 6; z = k + 11; s = b + 19; b = w + 12; p = n + 10; y = i + 13; m = n + 10; i = z + 6; u = s + 3; r = y + 7; f = u + 19. If n = 8, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = s + 3 to f, which gives f = s + 22.\n2. Substitute s = b + 19 to f, which gives f = b + 41.\n3. Substitute b = w + 12 to f, which gives f = w + 53.\n4. Substitute w = m + 6 to f, which gives f = m + 59.\n5. Substitute m = n... |
{"problem": {"rules": {"p": "y + 12", "r": "p + 7", "k": "r + 11", "q": "k + 16", "a": "q + 4", "z": "a + 2", "n": "y + 12", "b": "n + 20", "m": "b + 18", "o": "m + 15", "u": "o + 9", "f": "u + 13", "y": 8}, "premises": {"y": 8}, "target": "z"}, "answer": {"steps": [["a", "q + 4", "q + 6"], ["q", "k + 16", "k + 22"], [... | 454 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = m + 15; k = r + 11; b = n + 20; m = b + 18; a = q + 4; u = o + 9; z = a + 2; r = p + 7; n = y + 12; y = 8; f = u + 13; q = k + 16; p = y + 12. Given that y = 8, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = q + 4 to z, which gives z = q + 6.\n2. Substitute q = k + 16 to z, which gives z = k + 22.\n3. Substitute k = r + 11 to z, which gives z = r + 33.\n4. Substitute r = p + 7 to z, which gives z = p + 40.\n5. Substitute p = y ... |
{"problem": {"rules": {"y": "t + 1", "d": "y + 7", "n": "d + 9", "o": "n + 3", "f": "o + 9", "g": "f + 5", "h": "t + 11", "z": "h + 8", "v": "z + 16", "b": "v + 4", "w": "b + 10", "q": "w + 15", "t": 18}, "premises": {"t": 18}, "target": "g"}, "answer": {"steps": [["f", "o + 9", "o + 14"], ["o", "n + 3", "n + 17"], ["n... | 455 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = v + 4; y = t + 1; n = d + 9; d = y + 7; o = n + 3; t = 18; w = b + 10; f = o + 9; z = h + 8; q = w + 15; h = t + 11; g = f + 5; v = z + 16. If t = 18, what is the resulting value of g?",
"role": "user"
... | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = o + 9 to g, which gives g = o + 14.\n2. Substitute o = n + 3 to g, which gives g = n + 17.\n3. Substitute n = d + 9 to g, which gives g = d + 26.\n4. Substitute d = y + 7 to g, which gives g = y + 33.\n5. Substitute y = t +... |
{"problem": {"rules": {"v": "w + 6", "d": "v + 12", "o": "d + 9", "g": "o + 13", "s": "g + 14", "i": "s + 19", "h": "w + 20", "r": "h + 18", "f": "r + 20", "a": "f + 5", "c": "a + 16", "b": "c + 2", "w": 5}, "premises": {"w": 5}, "target": "i"}, "answer": {"steps": [["s", "g + 14", "g + 33"], ["g", "o + 13", "o + 46"],... | 456 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = 5; h = w + 20; d = v + 12; b = c + 2; r = h + 18; v = w + 6; o = d + 9; c = a + 16; f = r + 20; g = o + 13; s = g + 14; i = s + 19; a = f + 5. If w = 5, what is the resulting value of i?",
"role": "user... | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 14 to i, which gives i = g + 33.\n2. Substitute g = o + 13 to i, which gives i = o + 46.\n3. Substitute o = d + 9 to i, which gives i = d + 55.\n4. Substitute d = v + 12 to i, which gives i = v + 67.\n5. Substitute v = ... |
{"problem": {"rules": {"y": "c + 11", "n": "y + 4", "j": "n + 17", "l": "j + 5", "r": "l + 2", "b": "r + 3", "m": "c + 6", "i": "m + 2", "w": "i + 15", "a": "w + 12", "v": "a + 16", "q": "v + 1", "c": 20}, "premises": {"c": 20}, "target": "b"}, "answer": {"steps": [["r", "l + 2", "l + 5"], ["l", "j + 5", "j + 10"], ["j... | 457 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = m + 2; a = w + 12; v = a + 16; c = 20; m = c + 6; r = l + 2; l = j + 5; y = c + 11; j = n + 17; b = r + 3; n = y + 4; q = v + 1; w = i + 15. Given that c = 20, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = l + 2 to b, which gives b = l + 5.\n2. Substitute l = j + 5 to b, which gives b = j + 10.\n3. Substitute j = n + 17 to b, which gives b = n + 27.\n4. Substitute n = y + 4 to b, which gives b = y + 31.\n5. Substitute y = c +... |
{"problem": {"rules": {"p": "t + 7", "e": "p + 11", "n": "e + 9", "u": "n + 12", "d": "u + 2", "l": "d + 11", "k": "t + 19", "b": "k + 11", "s": "b + 13", "h": "s + 18", "r": "h + 17", "f": "r + 2", "t": 11}, "premises": {"t": 11}, "target": "l"}, "answer": {"steps": [["d", "u + 2", "u + 13"], ["u", "n + 12", "n + 25"]... | 458 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = u + 2; h = s + 18; r = h + 17; f = r + 2; k = t + 19; p = t + 7; u = n + 12; l = d + 11; e = p + 11; b = k + 11; t = 11; n = e + 9; s = b + 13. If t = 11, what is the resulting value of l?",
"role": "us... | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = u + 2 to l, which gives l = u + 13.\n2. Substitute u = n + 12 to l, which gives l = n + 25.\n3. Substitute n = e + 9 to l, which gives l = e + 34.\n4. Substitute e = p + 11 to l, which gives l = p + 45.\n5. Substitute p = t... |
{"problem": {"rules": {"g": "n + 4", "b": "g + 20", "f": "b + 5", "x": "f + 18", "t": "x + 1", "d": "t + 1", "i": "n + 9", "o": "i + 14", "w": "o + 8", "u": "w + 11", "h": "u + 14", "z": "h + 19", "n": 11}, "premises": {"n": 11}, "target": "d"}, "answer": {"steps": [["t", "x + 1", "x + 2"], ["x", "f + 18", "f + 20"], [... | 459 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = w + 11; f = b + 5; n = 11; i = n + 9; g = n + 4; x = f + 18; d = t + 1; h = u + 14; o = i + 14; z = h + 19; w = o + 8; t = x + 1; b = g + 20. If n = 11, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = x + 1 to d, which gives d = x + 2.\n2. Substitute x = f + 18 to d, which gives d = f + 20.\n3. Substitute f = b + 5 to d, which gives d = b + 25.\n4. Substitute b = g + 20 to d, which gives d = g + 45.\n5. Substitute g = n ... |
{"problem": {"rules": {"y": "p + 7", "o": "y + 19", "v": "o + 6", "k": "v + 13", "u": "k + 12", "m": "u + 9", "r": "p + 4", "f": "r + 8", "a": "f + 17", "d": "a + 17", "i": "d + 1", "w": "i + 16", "p": 20}, "premises": {"p": 20}, "target": "m"}, "answer": {"steps": [["u", "k + 12", "k + 21"], ["k", "v + 13", "v + 34"],... | 460 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = p + 4; w = i + 16; u = k + 12; a = f + 17; p = 20; f = r + 8; y = p + 7; i = d + 1; o = y + 19; k = v + 13; d = a + 17; m = u + 9; v = o + 6. If p = 20, what is the resulting value of m?",
"role": "user... | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = k + 12 to m, which gives m = k + 21.\n2. Substitute k = v + 13 to m, which gives m = v + 34.\n3. Substitute v = o + 6 to m, which gives m = o + 40.\n4. Substitute o = y + 19 to m, which gives m = y + 59.\n5. Substitute y = ... |
{"problem": {"rules": {"y": "a + 9", "i": "y + 9", "w": "i + 9", "f": "w + 3", "q": "f + 5", "b": "q + 2", "c": "a + 7", "x": "c + 10", "m": "x + 19", "h": "m + 14", "z": "h + 2", "s": "z + 3", "a": 5}, "premises": {"a": 5}, "target": "b"}, "answer": {"steps": [["q", "f + 5", "f + 7"], ["f", "w + 3", "w + 10"], ["w", "... | 461 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = z + 3; y = a + 9; w = i + 9; b = q + 2; h = m + 14; i = y + 9; q = f + 5; m = x + 19; a = 5; f = w + 3; x = c + 10; c = a + 7; z = h + 2. If a = 5, what is the resulting value of b?",
"role": "user"
}... | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = f + 5 to b, which gives b = f + 7.\n2. Substitute f = w + 3 to b, which gives b = w + 10.\n3. Substitute w = i + 9 to b, which gives b = i + 19.\n4. Substitute i = y + 9 to b, which gives b = y + 28.\n5. Substitute y = a + ... |
{"problem": {"rules": {"e": "j + 9", "l": "e + 4", "y": "l + 20", "u": "y + 9", "c": "u + 15", "s": "c + 3", "h": "j + 7", "q": "h + 15", "o": "q + 16", "m": "o + 5", "p": "m + 20", "i": "p + 20", "j": 2}, "premises": {"j": 2}, "target": "s"}, "answer": {"steps": [["c", "u + 15", "u + 18"], ["u", "y + 9", "y + 27"], ["... | 462 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = l + 20; c = u + 15; i = p + 20; p = m + 20; h = j + 7; j = 2; m = o + 5; q = h + 15; u = y + 9; o = q + 16; l = e + 4; s = c + 3; e = j + 9. If j = 2, what is the resulting value of s?",
"role": "user"
... | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = u + 15 to s, which gives s = u + 18.\n2. Substitute u = y + 9 to s, which gives s = y + 27.\n3. Substitute y = l + 20 to s, which gives s = l + 47.\n4. Substitute l = e + 4 to s, which gives s = e + 51.\n5. Substitute e = j... |
{"problem": {"rules": {"w": "f + 12", "i": "w + 8", "n": "i + 18", "j": "n + 14", "s": "j + 7", "z": "s + 6", "u": "f + 2", "a": "u + 20", "v": "a + 1", "k": "v + 12", "e": "k + 4", "o": "e + 14", "f": 7}, "premises": {"f": 7}, "target": "z"}, "answer": {"steps": [["s", "j + 7", "j + 13"], ["j", "n + 14", "n + 27"], ["... | 463 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = w + 8; u = f + 2; n = i + 18; k = v + 12; e = k + 4; a = u + 20; z = s + 6; v = a + 1; o = e + 14; s = j + 7; w = f + 12; j = n + 14; f = 7. Given that f = 7, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = j + 7 to z, which gives z = j + 13.\n2. Substitute j = n + 14 to z, which gives z = n + 27.\n3. Substitute n = i + 18 to z, which gives z = i + 45.\n4. Substitute i = w + 8 to z, which gives z = w + 53.\n5. Substitute w = f... |
{"problem": {"rules": {"o": "y + 7", "l": "o + 2", "h": "l + 3", "z": "h + 15", "n": "z + 14", "g": "n + 14", "s": "y + 19", "c": "s + 20", "p": "c + 16", "v": "p + 10", "a": "v + 15", "d": "a + 17", "y": 5}, "premises": {"y": 5}, "target": "g"}, "answer": {"steps": [["n", "z + 14", "z + 28"], ["z", "h + 15", "h + 43"]... | 464 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = h + 15; d = a + 17; n = z + 14; g = n + 14; y = 5; h = l + 3; l = o + 2; s = y + 19; o = y + 7; c = s + 20; v = p + 10; p = c + 16; a = v + 15. If y = 5, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = z + 14 to g, which gives g = z + 28.\n2. Substitute z = h + 15 to g, which gives g = h + 43.\n3. Substitute h = l + 3 to g, which gives g = l + 46.\n4. Substitute l = o + 2 to g, which gives g = o + 48.\n5. Substitute o = y... |
{"problem": {"rules": {"n": "k + 2", "b": "n + 3", "z": "b + 9", "y": "z + 1", "t": "y + 10", "p": "t + 18", "g": "k + 9", "o": "g + 18", "u": "o + 13", "d": "u + 18", "l": "d + 17", "x": "l + 15", "k": 20}, "premises": {"k": 20}, "target": "p"}, "answer": {"steps": [["t", "y + 10", "y + 28"], ["y", "z + 1", "z + 29"],... | 465 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = d + 17; t = y + 10; x = l + 15; y = z + 1; z = b + 9; b = n + 3; k = 20; u = o + 13; p = t + 18; g = k + 9; o = g + 18; d = u + 18; n = k + 2. Given that k = 20, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = y + 10 to p, which gives p = y + 28.\n2. Substitute y = z + 1 to p, which gives p = z + 29.\n3. Substitute z = b + 9 to p, which gives p = b + 38.\n4. Substitute b = n + 3 to p, which gives p = n + 41.\n5. Substitute n = k ... |
{"problem": {"rules": {"q": "v + 8", "j": "q + 9", "o": "j + 20", "s": "o + 14", "u": "s + 16", "m": "u + 6", "y": "v + 2", "b": "y + 12", "e": "b + 20", "x": "e + 2", "n": "x + 10", "w": "n + 8", "v": 19}, "premises": {"v": 19}, "target": "m"}, "answer": {"steps": [["u", "s + 16", "s + 22"], ["s", "o + 14", "o + 36"],... | 466 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = b + 20; b = y + 12; o = j + 20; j = q + 9; u = s + 16; m = u + 6; q = v + 8; n = x + 10; x = e + 2; y = v + 2; v = 19; w = n + 8; s = o + 14. If v = 19, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = s + 16 to m, which gives m = s + 22.\n2. Substitute s = o + 14 to m, which gives m = o + 36.\n3. Substitute o = j + 20 to m, which gives m = j + 56.\n4. Substitute j = q + 9 to m, which gives m = q + 65.\n5. Substitute q = ... |
{"problem": {"rules": {"x": "d + 7", "w": "x + 12", "y": "w + 9", "c": "y + 2", "g": "c + 2", "u": "g + 14", "h": "d + 13", "v": "h + 8", "k": "v + 16", "t": "k + 10", "s": "t + 10", "e": "s + 14", "d": 17}, "premises": {"d": 17}, "target": "u"}, "answer": {"steps": [["g", "c + 2", "c + 16"], ["c", "y + 2", "y + 18"], ... | 467 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = w + 9; x = d + 7; g = c + 2; c = y + 2; k = v + 16; t = k + 10; d = 17; h = d + 13; s = t + 10; e = s + 14; v = h + 8; w = x + 12; u = g + 14. Given that d = 17, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = c + 2 to u, which gives u = c + 16.\n2. Substitute c = y + 2 to u, which gives u = y + 18.\n3. Substitute y = w + 9 to u, which gives u = w + 27.\n4. Substitute w = x + 12 to u, which gives u = x + 39.\n5. Substitute x = d ... |
{"problem": {"rules": {"d": "y + 3", "x": "d + 4", "f": "x + 13", "l": "f + 6", "i": "l + 6", "b": "i + 1", "k": "y + 8", "h": "k + 10", "s": "h + 12", "e": "s + 13", "g": "e + 11", "m": "g + 20", "y": 16}, "premises": {"y": 16}, "target": "b"}, "answer": {"steps": [["i", "l + 6", "l + 7"], ["l", "f + 6", "f + 13"], ["... | 468 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = l + 6; y = 16; h = k + 10; k = y + 8; m = g + 20; d = y + 3; l = f + 6; x = d + 4; s = h + 12; f = x + 13; e = s + 13; b = i + 1; g = e + 11. If y = 16, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = l + 6 to b, which gives b = l + 7.\n2. Substitute l = f + 6 to b, which gives b = f + 13.\n3. Substitute f = x + 13 to b, which gives b = x + 26.\n4. Substitute x = d + 4 to b, which gives b = d + 30.\n5. Substitute d = y +... |
{"problem": {"rules": {"n": "j + 9", "c": "n + 9", "t": "c + 5", "b": "t + 11", "i": "b + 10", "k": "i + 5", "z": "j + 5", "p": "z + 9", "y": "p + 8", "x": "y + 14", "d": "x + 2", "r": "d + 18", "j": 8}, "premises": {"j": 8}, "target": "k"}, "answer": {"steps": [["i", "b + 10", "b + 15"], ["b", "t + 11", "t + 26"], ["t... | 469 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = b + 10; x = y + 14; d = x + 2; z = j + 5; b = t + 11; p = z + 9; j = 8; n = j + 9; c = n + 9; y = p + 8; k = i + 5; t = c + 5; r = d + 18. Given that j = 8, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = b + 10 to k, which gives k = b + 15.\n2. Substitute b = t + 11 to k, which gives k = t + 26.\n3. Substitute t = c + 5 to k, which gives k = c + 31.\n4. Substitute c = n + 9 to k, which gives k = n + 40.\n5. Substitute n = j... |
{"problem": {"rules": {"d": "h + 2", "x": "d + 17", "m": "x + 14", "y": "m + 11", "b": "y + 1", "r": "b + 17", "g": "h + 9", "f": "g + 12", "z": "f + 11", "c": "z + 2", "p": "c + 14", "v": "p + 17", "h": 3}, "premises": {"h": 3}, "target": "r"}, "answer": {"steps": [["b", "y + 1", "y + 18"], ["y", "m + 11", "m + 29"], ... | 470 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = d + 17; m = x + 14; d = h + 2; g = h + 9; c = z + 2; v = p + 17; r = b + 17; z = f + 11; f = g + 12; b = y + 1; p = c + 14; y = m + 11; h = 3. If h = 3, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = y + 1 to r, which gives r = y + 18.\n2. Substitute y = m + 11 to r, which gives r = m + 29.\n3. Substitute m = x + 14 to r, which gives r = x + 43.\n4. Substitute x = d + 17 to r, which gives r = d + 60.\n5. Substitute d = ... |
{"problem": {"rules": {"k": "m + 19", "v": "k + 1", "s": "v + 17", "i": "s + 14", "n": "i + 14", "h": "n + 10", "a": "m + 14", "p": "a + 5", "z": "p + 5", "y": "z + 5", "e": "y + 13", "t": "e + 8", "m": 15}, "premises": {"m": 15}, "target": "h"}, "answer": {"steps": [["n", "i + 14", "i + 24"], ["i", "s + 14", "s + 38"]... | 471 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = n + 10; k = m + 19; z = p + 5; s = v + 17; t = e + 8; e = y + 13; i = s + 14; m = 15; v = k + 1; a = m + 14; y = z + 5; p = a + 5; n = i + 14. Given that m = 15, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = i + 14 to h, which gives h = i + 24.\n2. Substitute i = s + 14 to h, which gives h = s + 38.\n3. Substitute s = v + 17 to h, which gives h = v + 55.\n4. Substitute v = k + 1 to h, which gives h = k + 56.\n5. Substitute k = ... |
{"problem": {"rules": {"d": "m + 6", "k": "d + 11", "b": "k + 8", "x": "b + 11", "n": "x + 18", "q": "n + 5", "r": "m + 9", "g": "r + 1", "u": "g + 2", "l": "u + 10", "w": "l + 15", "c": "w + 3", "m": 20}, "premises": {"m": 20}, "target": "q"}, "answer": {"steps": [["n", "x + 18", "x + 23"], ["x", "b + 11", "b + 34"], ... | 472 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = d + 11; w = l + 15; m = 20; r = m + 9; c = w + 3; n = x + 18; q = n + 5; u = g + 2; d = m + 6; g = r + 1; x = b + 11; l = u + 10; b = k + 8. Given that m = 20, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = x + 18 to q, which gives q = x + 23.\n2. Substitute x = b + 11 to q, which gives q = b + 34.\n3. Substitute b = k + 8 to q, which gives q = k + 42.\n4. Substitute k = d + 11 to q, which gives q = d + 53.\n5. Substitute d = ... |
{"problem": {"rules": {"d": "n + 7", "v": "d + 5", "h": "v + 7", "o": "h + 18", "e": "o + 8", "r": "e + 1", "z": "n + 19", "a": "z + 10", "f": "a + 16", "k": "f + 20", "i": "k + 4", "g": "i + 18", "n": 16}, "premises": {"n": 16}, "target": "r"}, "answer": {"steps": [["e", "o + 8", "o + 9"], ["o", "h + 18", "h + 27"], [... | 473 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = k + 4; g = i + 18; k = f + 20; r = e + 1; e = o + 8; z = n + 19; n = 16; h = v + 7; d = n + 7; o = h + 18; a = z + 10; v = d + 5; f = a + 16. If n = 16, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 8 to r, which gives r = o + 9.\n2. Substitute o = h + 18 to r, which gives r = h + 27.\n3. Substitute h = v + 7 to r, which gives r = v + 34.\n4. Substitute v = d + 5 to r, which gives r = d + 39.\n5. Substitute d = n +... |
{"problem": {"rules": {"l": "b + 4", "d": "l + 3", "s": "d + 20", "j": "s + 12", "z": "j + 11", "g": "z + 12", "h": "b + 1", "o": "h + 5", "k": "o + 11", "n": "k + 1", "q": "n + 9", "x": "q + 13", "b": 4}, "premises": {"b": 4}, "target": "g"}, "answer": {"steps": [["z", "j + 11", "j + 23"], ["j", "s + 12", "s + 35"], [... | 474 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = d + 20; b = 4; x = q + 13; h = b + 1; n = k + 1; q = n + 9; o = h + 5; g = z + 12; l = b + 4; d = l + 3; k = o + 11; z = j + 11; j = s + 12. If b = 4, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = j + 11 to g, which gives g = j + 23.\n2. Substitute j = s + 12 to g, which gives g = s + 35.\n3. Substitute s = d + 20 to g, which gives g = d + 55.\n4. Substitute d = l + 3 to g, which gives g = l + 58.\n5. Substitute l = ... |
{"problem": {"rules": {"b": "c + 1", "o": "b + 10", "d": "o + 16", "i": "d + 20", "u": "i + 8", "g": "u + 15", "t": "c + 10", "y": "t + 7", "h": "y + 5", "k": "h + 15", "w": "k + 10", "q": "w + 16", "c": 19}, "premises": {"c": 19}, "target": "g"}, "answer": {"steps": [["u", "i + 8", "i + 23"], ["i", "d + 20", "d + 43"]... | 475 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = k + 10; b = c + 1; i = d + 20; t = c + 10; d = o + 16; k = h + 15; o = b + 10; q = w + 16; g = u + 15; h = y + 5; u = i + 8; y = t + 7; c = 19. If c = 19, what is the resulting value of g?",
"role": "us... | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = i + 8 to g, which gives g = i + 23.\n2. Substitute i = d + 20 to g, which gives g = d + 43.\n3. Substitute d = o + 16 to g, which gives g = o + 59.\n4. Substitute o = b + 10 to g, which gives g = b + 69.\n5. Substitute b = ... |
{"problem": {"rules": {"p": "j + 18", "a": "p + 15", "o": "a + 4", "e": "o + 1", "y": "e + 10", "z": "y + 9", "r": "j + 16", "i": "r + 19", "t": "i + 8", "n": "t + 13", "v": "n + 20", "w": "v + 3", "j": 9}, "premises": {"j": 9}, "target": "z"}, "answer": {"steps": [["y", "e + 10", "e + 19"], ["e", "o + 1", "o + 20"], [... | 476 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = v + 3; i = r + 19; n = t + 13; a = p + 15; z = y + 9; y = e + 10; v = n + 20; o = a + 4; p = j + 18; j = 9; e = o + 1; r = j + 16; t = i + 8. If j = 9, what is the resulting value of z?",
"role": "user"... | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = e + 10 to z, which gives z = e + 19.\n2. Substitute e = o + 1 to z, which gives z = o + 20.\n3. Substitute o = a + 4 to z, which gives z = a + 24.\n4. Substitute a = p + 15 to z, which gives z = p + 39.\n5. Substitute p = j... |
{"problem": {"rules": {"p": "f + 19", "y": "p + 13", "n": "y + 10", "s": "n + 15", "l": "s + 12", "c": "l + 4", "g": "f + 18", "j": "g + 13", "v": "j + 19", "i": "v + 20", "b": "i + 14", "e": "b + 5", "f": 4}, "premises": {"f": 4}, "target": "c"}, "answer": {"steps": [["l", "s + 12", "s + 16"], ["s", "n + 15", "n + 31"... | 477 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = 4; e = b + 5; s = n + 15; j = g + 13; g = f + 18; b = i + 14; p = f + 19; n = y + 10; v = j + 19; i = v + 20; c = l + 4; y = p + 13; l = s + 12. Given that f = 4, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = s + 12 to c, which gives c = s + 16.\n2. Substitute s = n + 15 to c, which gives c = n + 31.\n3. Substitute n = y + 10 to c, which gives c = y + 41.\n4. Substitute y = p + 13 to c, which gives c = p + 54.\n5. Substitute p =... |
{"problem": {"rules": {"k": "v + 14", "q": "k + 7", "a": "q + 10", "i": "a + 5", "o": "i + 2", "r": "o + 9", "b": "v + 1", "e": "b + 9", "h": "e + 13", "c": "h + 9", "x": "c + 11", "d": "x + 9", "v": 12}, "premises": {"v": 12}, "target": "r"}, "answer": {"steps": [["o", "i + 2", "i + 11"], ["i", "a + 5", "a + 16"], ["a... | 478 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = v + 1; i = a + 5; x = c + 11; c = h + 9; h = e + 13; d = x + 9; r = o + 9; o = i + 2; v = 12; q = k + 7; a = q + 10; k = v + 14; e = b + 9. Given that v = 12, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = i + 2 to r, which gives r = i + 11.\n2. Substitute i = a + 5 to r, which gives r = a + 16.\n3. Substitute a = q + 10 to r, which gives r = q + 26.\n4. Substitute q = k + 7 to r, which gives r = k + 33.\n5. Substitute k = v ... |
{"problem": {"rules": {"s": "e + 12", "a": "s + 19", "q": "a + 20", "h": "q + 14", "m": "h + 11", "g": "m + 9", "x": "e + 6", "p": "x + 1", "i": "p + 11", "r": "i + 17", "y": "r + 18", "b": "y + 8", "e": 20}, "premises": {"e": 20}, "target": "g"}, "answer": {"steps": [["m", "h + 11", "h + 20"], ["h", "q + 14", "q + 34"... | 479 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = r + 18; e = 20; g = m + 9; x = e + 6; h = q + 14; r = i + 17; a = s + 19; p = x + 1; b = y + 8; m = h + 11; s = e + 12; q = a + 20; i = p + 11. If e = 20, what is the resulting value of g?",
"role": "us... | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = h + 11 to g, which gives g = h + 20.\n2. Substitute h = q + 14 to g, which gives g = q + 34.\n3. Substitute q = a + 20 to g, which gives g = a + 54.\n4. Substitute a = s + 19 to g, which gives g = s + 73.\n5. Substitute s =... |
{"problem": {"rules": {"d": "n + 11", "h": "d + 9", "l": "h + 19", "k": "l + 15", "m": "k + 19", "p": "m + 5", "i": "n + 12", "b": "i + 16", "t": "b + 17", "r": "t + 19", "e": "r + 11", "u": "e + 20", "n": 7}, "premises": {"n": 7}, "target": "p"}, "answer": {"steps": [["m", "k + 19", "k + 24"], ["k", "l + 15", "l + 39"... | 480 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = n + 12; r = t + 19; e = r + 11; t = b + 17; n = 7; k = l + 15; p = m + 5; m = k + 19; u = e + 20; h = d + 9; b = i + 16; d = n + 11; l = h + 19. If n = 7, what is the resulting value of p?",
"role": "us... | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = k + 19 to p, which gives p = k + 24.\n2. Substitute k = l + 15 to p, which gives p = l + 39.\n3. Substitute l = h + 19 to p, which gives p = h + 58.\n4. Substitute h = d + 9 to p, which gives p = d + 67.\n5. Substitute d = ... |
{"problem": {"rules": {"l": "n + 8", "h": "l + 10", "s": "h + 8", "g": "s + 20", "b": "g + 3", "r": "b + 2", "e": "n + 6", "k": "e + 13", "c": "k + 5", "w": "c + 8", "q": "w + 9", "j": "q + 4", "n": 13}, "premises": {"n": 13}, "target": "r"}, "answer": {"steps": [["b", "g + 3", "g + 5"], ["g", "s + 20", "s + 25"], ["s"... | 481 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = 13; h = l + 10; w = c + 8; e = n + 6; k = e + 13; l = n + 8; c = k + 5; j = q + 4; q = w + 9; s = h + 8; g = s + 20; b = g + 3; r = b + 2. If n = 13, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = g + 3 to r, which gives r = g + 5.\n2. Substitute g = s + 20 to r, which gives r = s + 25.\n3. Substitute s = h + 8 to r, which gives r = h + 33.\n4. Substitute h = l + 10 to r, which gives r = l + 43.\n5. Substitute l = n ... |
{"problem": {"rules": {"x": "l + 5", "a": "x + 2", "k": "a + 6", "u": "k + 17", "h": "u + 5", "n": "h + 3", "b": "l + 8", "m": "b + 3", "f": "m + 7", "d": "f + 5", "q": "d + 2", "j": "q + 10", "l": 8}, "premises": {"l": 8}, "target": "n"}, "answer": {"steps": [["h", "u + 5", "u + 8"], ["u", "k + 17", "k + 25"], ["k", "... | 482 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = 8; f = m + 7; q = d + 2; x = l + 5; u = k + 17; a = x + 2; k = a + 6; h = u + 5; d = f + 5; j = q + 10; b = l + 8; m = b + 3; n = h + 3. Given that l = 8, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = u + 5 to n, which gives n = u + 8.\n2. Substitute u = k + 17 to n, which gives n = k + 25.\n3. Substitute k = a + 6 to n, which gives n = a + 31.\n4. Substitute a = x + 2 to n, which gives n = x + 33.\n5. Substitute x = l +... |
{"problem": {"rules": {"t": "p + 8", "a": "t + 2", "s": "a + 7", "j": "s + 1", "m": "j + 4", "i": "m + 7", "x": "p + 6", "u": "x + 16", "v": "u + 10", "y": "v + 7", "n": "y + 4", "r": "n + 14", "p": 3}, "premises": {"p": 3}, "target": "i"}, "answer": {"steps": [["m", "j + 4", "j + 11"], ["j", "s + 1", "s + 12"], ["s", ... | 483 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = x + 16; t = p + 8; x = p + 6; j = s + 1; v = u + 10; r = n + 14; n = y + 4; m = j + 4; i = m + 7; y = v + 7; p = 3; a = t + 2; s = a + 7. Given that p = 3, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 32,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = j + 4 to i, which gives i = j + 11.\n2. Substitute j = s + 1 to i, which gives i = s + 12.\n3. Substitute s = a + 7 to i, which gives i = a + 19.\n4. Substitute a = t + 2 to i, which gives i = t + 21.\n5. Substitute t = p +... |
{"problem": {"rules": {"x": "n + 13", "u": "x + 10", "a": "u + 19", "o": "a + 12", "q": "o + 16", "h": "q + 13", "v": "n + 19", "f": "v + 19", "m": "f + 5", "t": "m + 9", "r": "t + 9", "w": "r + 6", "n": 9}, "premises": {"n": 9}, "target": "h"}, "answer": {"steps": [["q", "o + 16", "o + 29"], ["o", "a + 12", "a + 41"],... | 484 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = a + 12; h = q + 13; t = m + 9; a = u + 19; x = n + 13; u = x + 10; v = n + 19; r = t + 9; w = r + 6; f = v + 19; m = f + 5; n = 9; q = o + 16. If n = 9, what is the resulting value of h?",
"role": "user... | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = o + 16 to h, which gives h = o + 29.\n2. Substitute o = a + 12 to h, which gives h = a + 41.\n3. Substitute a = u + 19 to h, which gives h = u + 60.\n4. Substitute u = x + 10 to h, which gives h = x + 70.\n5. Substitute x =... |
{"problem": {"rules": {"h": "f + 4", "u": "h + 8", "k": "u + 19", "c": "k + 1", "z": "c + 5", "p": "z + 11", "o": "f + 19", "y": "o + 3", "b": "y + 2", "e": "b + 18", "j": "e + 7", "t": "j + 16", "f": 11}, "premises": {"f": 11}, "target": "p"}, "answer": {"steps": [["z", "c + 5", "c + 16"], ["c", "k + 1", "k + 17"], ["... | 485 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = h + 8; t = j + 16; j = e + 7; z = c + 5; k = u + 19; b = y + 2; y = o + 3; p = z + 11; h = f + 4; c = k + 1; f = 11; o = f + 19; e = b + 18. If f = 11, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = c + 5 to p, which gives p = c + 16.\n2. Substitute c = k + 1 to p, which gives p = k + 17.\n3. Substitute k = u + 19 to p, which gives p = u + 36.\n4. Substitute u = h + 8 to p, which gives p = h + 44.\n5. Substitute h = f ... |
{"problem": {"rules": {"i": "s + 2", "u": "i + 6", "w": "u + 9", "k": "w + 19", "f": "k + 18", "j": "f + 16", "l": "s + 4", "r": "l + 3", "z": "r + 7", "d": "z + 13", "x": "d + 6", "t": "x + 13", "s": 9}, "premises": {"s": 9}, "target": "j"}, "answer": {"steps": [["f", "k + 18", "k + 34"], ["k", "w + 19", "w + 53"], ["... | 486 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = f + 16; z = r + 7; s = 9; t = x + 13; x = d + 6; u = i + 6; d = z + 13; k = w + 19; l = s + 4; w = u + 9; i = s + 2; f = k + 18; r = l + 3. If s = 9, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = k + 18 to j, which gives j = k + 34.\n2. Substitute k = w + 19 to j, which gives j = w + 53.\n3. Substitute w = u + 9 to j, which gives j = u + 62.\n4. Substitute u = i + 6 to j, which gives j = i + 68.\n5. Substitute i = s... |
{"problem": {"rules": {"v": "d + 1", "w": "v + 16", "h": "w + 18", "y": "h + 17", "t": "y + 18", "f": "t + 2", "g": "d + 3", "p": "g + 3", "b": "p + 11", "z": "b + 15", "a": "z + 3", "r": "a + 7", "d": 15}, "premises": {"d": 15}, "target": "f"}, "answer": {"steps": [["t", "y + 18", "y + 20"], ["y", "h + 17", "h + 37"],... | 487 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = 15; y = h + 17; v = d + 1; p = g + 3; f = t + 2; r = a + 7; b = p + 11; z = b + 15; h = w + 18; t = y + 18; g = d + 3; a = z + 3; w = v + 16. If d = 15, what is the resulting value of f?",
"role": "user... | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = y + 18 to f, which gives f = y + 20.\n2. Substitute y = h + 17 to f, which gives f = h + 37.\n3. Substitute h = w + 18 to f, which gives f = w + 55.\n4. Substitute w = v + 16 to f, which gives f = v + 71.\n5. Substitute v =... |
{"problem": {"rules": {"r": "g + 6", "m": "r + 13", "n": "m + 12", "f": "n + 20", "w": "f + 8", "x": "w + 13", "e": "g + 3", "z": "e + 13", "v": "z + 6", "s": "v + 20", "y": "s + 19", "k": "y + 2", "g": 14}, "premises": {"g": 14}, "target": "x"}, "answer": {"steps": [["w", "f + 8", "f + 21"], ["f", "n + 20", "n + 41"],... | 488 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = w + 13; g = 14; z = e + 13; s = v + 20; y = s + 19; w = f + 8; v = z + 6; f = n + 20; k = y + 2; e = g + 3; m = r + 13; n = m + 12; r = g + 6. If g = 14, what is the resulting value of x?",
"role": "use... | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = f + 8 to x, which gives x = f + 21.\n2. Substitute f = n + 20 to x, which gives x = n + 41.\n3. Substitute n = m + 12 to x, which gives x = m + 53.\n4. Substitute m = r + 13 to x, which gives x = r + 66.\n5. Substitute r = ... |
{"problem": {"rules": {"g": "z + 20", "h": "g + 20", "e": "h + 1", "v": "e + 1", "i": "v + 11", "q": "i + 20", "m": "z + 8", "j": "m + 18", "r": "j + 4", "n": "r + 6", "y": "n + 3", "t": "y + 12", "z": 8}, "premises": {"z": 8}, "target": "q"}, "answer": {"steps": [["i", "v + 11", "v + 31"], ["v", "e + 1", "e + 32"], ["... | 489 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = h + 1; r = j + 4; t = y + 12; n = r + 6; m = z + 8; g = z + 20; q = i + 20; v = e + 1; i = v + 11; z = 8; j = m + 18; y = n + 3; h = g + 20. If z = 8, what is the resulting value of q?",
"role": "user"
... | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = v + 11 to q, which gives q = v + 31.\n2. Substitute v = e + 1 to q, which gives q = e + 32.\n3. Substitute e = h + 1 to q, which gives q = h + 33.\n4. Substitute h = g + 20 to q, which gives q = g + 53.\n5. Substitute g = z... |
{"problem": {"rules": {"e": "v + 8", "y": "e + 18", "t": "y + 12", "d": "t + 15", "w": "d + 2", "p": "w + 15", "g": "v + 10", "u": "g + 7", "m": "u + 19", "j": "m + 20", "o": "j + 14", "x": "o + 2", "v": 10}, "premises": {"v": 10}, "target": "p"}, "answer": {"steps": [["w", "d + 2", "d + 17"], ["d", "t + 15", "t + 32"]... | 490 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = g + 7; t = y + 12; o = j + 14; y = e + 18; m = u + 19; d = t + 15; j = m + 20; w = d + 2; x = o + 2; v = 10; p = w + 15; e = v + 8; g = v + 10. If v = 10, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = d + 2 to p, which gives p = d + 17.\n2. Substitute d = t + 15 to p, which gives p = t + 32.\n3. Substitute t = y + 12 to p, which gives p = y + 44.\n4. Substitute y = e + 18 to p, which gives p = e + 62.\n5. Substitute e = ... |
{"problem": {"rules": {"u": "h + 18", "i": "u + 9", "c": "i + 11", "r": "c + 4", "x": "r + 14", "a": "x + 16", "s": "h + 2", "e": "s + 11", "t": "e + 6", "l": "t + 20", "f": "l + 9", "q": "f + 19", "h": 11}, "premises": {"h": 11}, "target": "a"}, "answer": {"steps": [["x", "r + 14", "r + 30"], ["r", "c + 4", "c + 34"],... | 491 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = f + 19; t = e + 6; i = u + 9; a = x + 16; c = i + 11; u = h + 18; e = s + 11; x = r + 14; s = h + 2; r = c + 4; h = 11; l = t + 20; f = l + 9. Given that h = 11, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = r + 14 to a, which gives a = r + 30.\n2. Substitute r = c + 4 to a, which gives a = c + 34.\n3. Substitute c = i + 11 to a, which gives a = i + 45.\n4. Substitute i = u + 9 to a, which gives a = u + 54.\n5. Substitute u = h... |
{"problem": {"rules": {"e": "v + 6", "r": "e + 14", "l": "r + 7", "j": "l + 10", "m": "j + 4", "w": "m + 5", "z": "v + 17", "s": "z + 12", "k": "s + 14", "d": "k + 16", "i": "d + 9", "p": "i + 13", "v": 14}, "premises": {"v": 14}, "target": "w"}, "answer": {"steps": [["m", "j + 4", "j + 9"], ["j", "l + 10", "l + 19"], ... | 492 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = l + 10; p = i + 13; m = j + 4; e = v + 6; v = 14; z = v + 17; s = z + 12; k = s + 14; w = m + 5; d = k + 16; i = d + 9; r = e + 14; l = r + 7. If v = 14, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = j + 4 to w, which gives w = j + 9.\n2. Substitute j = l + 10 to w, which gives w = l + 19.\n3. Substitute l = r + 7 to w, which gives w = r + 26.\n4. Substitute r = e + 14 to w, which gives w = e + 40.\n5. Substitute e = v ... |
{"problem": {"rules": {"r": "m + 8", "o": "r + 20", "t": "o + 8", "f": "t + 18", "g": "f + 15", "q": "g + 11", "h": "m + 9", "z": "h + 13", "w": "z + 17", "b": "w + 3", "d": "b + 7", "n": "d + 8", "m": 14}, "premises": {"m": 14}, "target": "q"}, "answer": {"steps": [["g", "f + 15", "f + 26"], ["f", "t + 18", "t + 44"],... | 493 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = w + 3; w = z + 17; d = b + 7; m = 14; z = h + 13; t = o + 8; n = d + 8; o = r + 20; r = m + 8; h = m + 9; f = t + 18; g = f + 15; q = g + 11. If m = 14, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = f + 15 to q, which gives q = f + 26.\n2. Substitute f = t + 18 to q, which gives q = t + 44.\n3. Substitute t = o + 8 to q, which gives q = o + 52.\n4. Substitute o = r + 20 to q, which gives q = r + 72.\n5. Substitute r = ... |
{"problem": {"rules": {"v": "d + 12", "i": "v + 12", "w": "i + 1", "p": "w + 20", "k": "p + 13", "g": "k + 6", "j": "d + 12", "l": "j + 2", "q": "l + 15", "s": "q + 8", "f": "s + 17", "n": "f + 6", "d": 3}, "premises": {"d": 3}, "target": "g"}, "answer": {"steps": [["k", "p + 13", "p + 19"], ["p", "w + 20", "w + 39"], ... | 494 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = v + 12; k = p + 13; p = w + 20; g = k + 6; j = d + 12; q = l + 15; d = 3; s = q + 8; w = i + 1; v = d + 12; l = j + 2; f = s + 17; n = f + 6. If d = 3, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = p + 13 to g, which gives g = p + 19.\n2. Substitute p = w + 20 to g, which gives g = w + 39.\n3. Substitute w = i + 1 to g, which gives g = i + 40.\n4. Substitute i = v + 12 to g, which gives g = v + 52.\n5. Substitute v = ... |
{"problem": {"rules": {"b": "s + 13", "h": "b + 9", "k": "h + 2", "r": "k + 3", "v": "r + 10", "l": "v + 11", "u": "s + 3", "m": "u + 7", "n": "m + 13", "p": "n + 8", "w": "p + 3", "c": "w + 6", "s": 1}, "premises": {"s": 1}, "target": "l"}, "answer": {"steps": [["v", "r + 10", "r + 21"], ["r", "k + 3", "k + 24"], ["k"... | 495 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = h + 2; v = r + 10; m = u + 7; b = s + 13; n = m + 13; p = n + 8; u = s + 3; c = w + 6; r = k + 3; l = v + 11; s = 1; w = p + 3; h = b + 9. Given that s = 1, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = r + 10 to l, which gives l = r + 21.\n2. Substitute r = k + 3 to l, which gives l = k + 24.\n3. Substitute k = h + 2 to l, which gives l = h + 26.\n4. Substitute h = b + 9 to l, which gives l = b + 35.\n5. Substitute b = s ... |
{"problem": {"rules": {"y": "r + 10", "q": "y + 7", "g": "q + 4", "c": "g + 5", "i": "c + 6", "k": "i + 20", "v": "r + 7", "d": "v + 4", "h": "d + 7", "x": "h + 16", "n": "x + 13", "f": "n + 14", "r": 8}, "premises": {"r": 8}, "target": "k"}, "answer": {"steps": [["i", "c + 6", "c + 26"], ["c", "g + 5", "g + 31"], ["g"... | 496 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = i + 20; g = q + 4; d = v + 4; c = g + 5; n = x + 13; y = r + 10; v = r + 7; r = 8; q = y + 7; x = h + 16; f = n + 14; i = c + 6; h = d + 7. If r = 8, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = c + 6 to k, which gives k = c + 26.\n2. Substitute c = g + 5 to k, which gives k = g + 31.\n3. Substitute g = q + 4 to k, which gives k = q + 35.\n4. Substitute q = y + 7 to k, which gives k = y + 42.\n5. Substitute y = r +... |
{"problem": {"rules": {"v": "k + 14", "n": "v + 6", "q": "n + 9", "j": "q + 2", "l": "j + 5", "x": "l + 18", "t": "k + 8", "w": "t + 13", "g": "w + 8", "z": "g + 14", "a": "z + 18", "d": "a + 11", "k": 1}, "premises": {"k": 1}, "target": "x"}, "answer": {"steps": [["l", "j + 5", "j + 23"], ["j", "q + 2", "q + 25"], ["q... | 497 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = q + 2; n = v + 6; x = l + 18; g = w + 8; k = 1; t = k + 8; l = j + 5; a = z + 18; w = t + 13; v = k + 14; z = g + 14; q = n + 9; d = a + 11. If k = 1, what is the resulting value of x?",
"role": "user"
... | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 5 to x, which gives x = j + 23.\n2. Substitute j = q + 2 to x, which gives x = q + 25.\n3. Substitute q = n + 9 to x, which gives x = n + 34.\n4. Substitute n = v + 6 to x, which gives x = v + 40.\n5. Substitute v = k +... |
{"problem": {"rules": {"f": "n + 9", "z": "f + 15", "b": "z + 18", "r": "b + 11", "v": "r + 10", "d": "v + 2", "m": "n + 2", "p": "m + 18", "i": "p + 11", "j": "i + 20", "y": "j + 18", "q": "y + 11", "n": 8}, "premises": {"n": 8}, "target": "d"}, "answer": {"steps": [["v", "r + 10", "r + 12"], ["r", "b + 11", "b + 23"]... | 498 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = n + 2; i = p + 11; z = f + 15; q = y + 11; y = j + 18; f = n + 9; d = v + 2; p = m + 18; v = r + 10; n = 8; b = z + 18; j = i + 20; r = b + 11. If n = 8, what is the resulting value of d?",
"role": "use... | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = r + 10 to d, which gives d = r + 12.\n2. Substitute r = b + 11 to d, which gives d = b + 23.\n3. Substitute b = z + 18 to d, which gives d = z + 41.\n4. Substitute z = f + 15 to d, which gives d = f + 56.\n5. Substitute f =... |
{"problem": {"rules": {"j": "y + 5", "w": "j + 5", "g": "w + 8", "h": "g + 11", "n": "h + 16", "b": "n + 6", "s": "y + 15", "u": "s + 9", "o": "u + 17", "a": "o + 4", "p": "a + 20", "q": "p + 4", "y": 11}, "premises": {"y": 11}, "target": "b"}, "answer": {"steps": [["n", "h + 16", "h + 22"], ["h", "g + 11", "g + 33"], ... | 499 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = w + 8; s = y + 15; q = p + 4; u = s + 9; p = a + 20; w = j + 5; b = n + 6; y = 11; n = h + 16; o = u + 17; a = o + 4; h = g + 11; j = y + 5. If y = 11, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = h + 16 to b, which gives b = h + 22.\n2. Substitute h = g + 11 to b, which gives b = g + 33.\n3. Substitute g = w + 8 to b, which gives b = w + 41.\n4. Substitute w = j + 5 to b, which gives b = j + 46.\n5. Substitute j = y... |
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